Finding the Fourth Proportional to 1,503,475,465.05, 2,255,299,380.87 and 398,051,597.43
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Solution
The fourth proportional to 1,503,475,465.05, 2,255,299,380.87 and 398,051,597.43 is: 597,100,213.54
Step by Step Solution
- Step 1: Write the proportion equation
1,503,475,465.05 : 2,255,299,380.87 = 398,051,597.43 : x - Step 2: Convert to fraction form
1,503,475,465.05/2,255,299,380.87 = 398,051,597.43/x - Step 3: Cross multiply
1,503,475,465.05x = 2,255,299,380.87 × 398,051,597.43 - Step 4: Simplify right side
1,503,475,465.05x = 897,725,521,238,193,408 - Step 5: Solve for x
x = 897,725,521,238,193,408/1,503,475,465.05 - Step 6: Final answer
x = 597,100,213.54
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.